Journal of Mathematics

Research Article

Statistical Prediction Based on Ordered Ranked Set Sampling Using Type-II Censored Data from the Rayleigh Distribution under Progressive-Stress Accelerated Life Tests

Table 8

BPPRs using SER and LEX loss functions for (two-cycle).


				Exact value	SER			LEX
					SER
					ABPPR	BIAS	MSPER	ABPPR	BIAS	MSPER	ABPPR	BIAS	MSPER

1	5	2	1	0.69438	0.58506	0.00328	0.00353	0.58615	0.00437	0.00354	0.58402	0.00224	0.00352
				0.88627	0.86742	0.01317	0.01658	0.87328	0.01903	0.01678	0.86179	0.00754	0.01647
				1.18939	1.39627	0.03011	0.05564	1.4186	0.05243	0.05752	1.37576	0.0096	0.05482
			2	0.65358	0.5447	0.00261	0.00323	0.54142	−0.00066	0.00544	0.54992	0.00783	0.00556
				0.82822	0.81225	0.0154	0.01493	0.81795	0.02111	0.01515	0.80681	0.00996	0.01479
				1.12003	1.31911	0.03713	0.04995	1.34182	0.05983	0.05225	1.29829	0.01631	0.04879
		3	1	0.88627	0.79665	0.00267	0.00796	0.79893	0.00494	0.00797	0.7945	0.00051	0.00795
			1	1.18939	1.29083	0.01329	0.05736	1.30881	0.03127	0.05817	1.27415	−0.00339	0.0572
			2	0.83017	0.74382	0.00334	0.007	0.7457	0.00522	0.00703	0.74218	0.00169	0.007
			2	1.11609	1.21342	0.0182	0.05068	1.23093	0.03571	0.05164	1.19726	0.00204	0.05035
		4	1	1.18939	1.15677	0.0046	0.04579	1.16982	0.01764	0.04609	1.14498	−0.00719	0.04583
		4	2	1.11609	1.07954	0.00668	0.04145	1.09196	0.0191	0.04178	1.06833	−0.00453	0.04144

2	5	2	1	0.68266	0.58088	0.00331	0.00362	0.58199	0.00442	0.00363	0.57981	0.00225	0.00361
				0.88878	0.86386	0.01319	0.01676	0.86978	0.01911	0.01696	0.85818	0.00751	0.01665
				1.18128	1.39424	0.0301	0.05583	1.41664	0.05249	0.05773	1.37367	0.00953	0.05501
			2	0.64523	0.54401	0.00276	0.00329	0.54141	0.00016	0.00443	0.54828	0.00702	0.00452
				0.83682	0.81613	0.01538	0.01487	0.82182	0.02107	0.01509	0.81069	0.00995	0.01473
				1.11542	1.31996	0.03715	0.05001	1.34268	0.05987	0.05231	1.29913	0.01632	0.04885
		3	1	0.88878	0.78993	0.00268	0.00811	0.79224	0.00499	0.00813	0.78773	0.00048	0.0081
			1	1.18128	1.28221	0.01328	0.05772	1.30028	0.03135	0.05854	1.26544	−0.00349	0.05757
			2	0.83786	0.74267	0.00336	0.00707	0.74474	0.00542	0.00709	0.74075	0.00143	0.00706
			2	1.11542	1.21218	0.01821	0.05081	1.22972	0.03576	0.05178	1.19598	0.00202	0.05049
		4	1	1.18128	1.1492	0.0046	0.04641	1.16242	0.01782	0.04672	1.13726	−0.00734	0.04645
		4	2	1.11542	1.08764	0.00668	0.04086	1.0999	0.01894	0.04118	1.07658	−0.00439	0.04084